User:Mjmohio

What I am doing
I am mainly working on Topic:Numerical analysis.

I started /College Algebra (Ohio TAGS), but am not working on it at the moment.

Stuff for a course I teach
w: Help:Displaying_a_formula

/Final Report Template

Class member pages from Fall 2012:

 * User:Gc953496, w: User:Gc953496 Project topic: Loss of significance
 * User:Brmcvet Project topic: Secant Method
 * w: User:la740411ohio, User:La740411ohio Project topic: Newton polynomial (Divided differences)
 * w: User:Lmb.ohio, User:Lmb.ohio Project topic: Neville's Algorithm
 * User:XueGong Project topic: Cubic spline interpolation
 * User:Nm160111 Project topic: Numerical Differentiation examples and excercises.
 * w: User:Lxm1117, User:Lxm1117 Project topic: Newton–Cotes formulae Error Analysis
 * User:Hh687711 Project topic: Truncation Error
 * User:Zl542711 Project topic: Adams–Bashforth methods and Adams–Moulton methods
 * User:pa648412 Project topic: Stability of Multistep methods
 * User:Jl214707 Project topic: ODE in Vector form
 * w: User:Nraymoss, User:Nraymoss Project topic: Norms
 * User:Whlitt Project topic: Iterative refinement
 * w: User:YangOu, User:YangOu Project topic: Power method and Shifted inverse power method

Class member pages from Fall 2010:
 * w: User:Bchethan, User:Bchethan Project topic: Usage of ODE methods
 * w: User:Kadamsujit, User:Kadamsujit Project topic: Fixed point iterations
 * w: User:Vv148408 Project topic: Euler's method for ODEs
 * w: User:Pooja929, User:Poojap Project topic: Romberg's Integration
 * w: User:Saichow2k ,User:Saichow2k Project topic: Newton's Method (wikiversity)
 * w: User:Kyle.drerup Project topic: Newton's method for systems (wikipedia)
 * User:Mrrmv Project topic: polynomial interpolation methods
 * w: User:Mikesmith00, User:Mikesmith00 Project topic: Gaussian quadrature integration methods
 * User:Jw116104 Project topic: bisection
 * w: User:Smforrestal Project topic: Matrix norms


 * w: User:Ramiamro, User:Ramiamro Project topic: stability of ODE methods for stiff equation
 * User:Elve Project topic: computing the order of ODE methods

Exercise/Example Template
For an exercise (and perhaps example) you want the reader to have access to the solution, but to not see it immediately. This template allows you to hide the solution.

You can use What is 1+1? Solution: 2 to make:

What is 1+1? Solution: 2

Naming Equations and Referring to Them
You can name (or number) and refer to equations using Thus we have

From ($$), we see ... to make:

Thus we have

From ($$), we see ...

Quiz template
For instructions on writing quizzes, see Help:Quiz or Help:Quiz-Simple.

{LU decomposition is - A name of the algorithm to solve any linear systems + a matrix decomposition which writes a matrix as the product of a lower triangular matrix and an upper triangular matrix - A the program to solve any linear systems - None of those
 * type=""}

{ The determinant of $$\left[\begin{array}{c c}3 & 4 \\2 & 1\end{array} \right]$$ is { -5 _3 }.
 * type="{}"}

{
 * type="{}"}

$$ \displaystyle \ y_1 = $$ { 4 } $$ \displaystyle \ y_2 = $$ { -1 } $$ \displaystyle \ y_3 = $$ { 6 }

Next, we have Ux = y

$$ \begin{bmatrix} 2&-1&3\\0&4&-5\\0&0&6\end{bmatrix}$$ X $$\begin{bmatrix} x_1\\x_2\\x_3\end{bmatrix} $$ = $$\begin{bmatrix} y_1\\y_2\\y_3\end{bmatrix} $$

Use backward substitution we have:

$$ \displaystyle \ x_1 = $$ { 1 } $$ \displaystyle \ x_2 = $$ { 1 } $$ \displaystyle \ x_3 = $$ { 1 }